Which points have an x value less than zero?
C, D, J
X, С
P, L
D, J, E

In order to dilate something on a coordinate plane, multiply the coordinate with the scale factor. This process is known as mapping.

What is a dilation?

Dilation is a process of altering a thing. It is a process of renewal that to make the objects smaller or larger, with the use of specific scale factor.

The new figure that is the result of dilation is known as the image. Initial figure is referred to as the pre-image.

What is a center of dilation?  

Center of dilation is the resizing that happens from a point. The objects/figures are expanded or contracted from the center of dilation.

Scale factor is a figure by which the size of any geometrical figure can be resized, with respect to its original size. The scale factor is multiplied to get image.

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The derivative of f(x) = 2x/(x-3) using first principles is f'(x) =\(-6 / (x - 3)^2.\)

To find the derivative of a function using first principles, we need to use the definition of the derivative:

f'(x) = lim(h->0) [f(x+h) - f(x)] / h

Let's apply this definition to the given function f(x) = 2x/(x-3):

f'(x) = lim(h->0) [f(x+h) - f(x)] / h

To calculate f(x+h), we substitute x+h into the original function:

f(x+h) = 2(x+h) / (x+h-3)

Now, we can substitute f(x+h) and f(x) back into the derivative definition:

f'(x) = lim(h->0) [(2(x+h) / (x+h-3)) - (2x / (x-3))] / h

Next, we simplify the expression:

f'(x) = lim(h->0) [(2x + 2h) / (x + h - 3) - (2x / (x-3))] / h

To proceed further, we'll find the common denominator for the fractions:

f'(x) = lim(h->0) [(2x + 2h)(x-3) - (2x)(x+h-3)] / [(x + h - 3)(x - 3)] / h

Expanding the numerator:

f'(x) = lim(h->0) [2x^2 - 6x + 2hx - 6h - 2x^2 - 2xh + 6x] / [(x + h - 3)(x - 3)] / h

Simplifying the numerator:

f'(x) = lim(h->0) [-6h] / [(x + h - 3)(x - 3)] / h

Canceling out the common factors:

f'(x) = lim(h->0) [-6] / (x + h - 3)(x - 3)

Now, take the limit as h approaches 0:

f'(x) = \(-6 / (x - 3)^2\)

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Answer:

Step-by-step explanation:

Let x be the variable.

One fourth times the difference of ten and x is 2/3

1/4 (10 - x) = 2/3

10 - x = 3/2

-x = 3/2 - 10

x = -3/2 + 10

x = 13/2

The answer is:

\(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\)

Work/explanation:

First, the variable is d

Then, the difference of 10 and d is 10 - d.

One-fourth is 1/4.

The equation is : \(\rm{\dfrac{1}{4}(10-d)=\dfrac{2}{3}}\).

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

Answer:

a

Step-by-step explanation:

Answer:

dfvgbhnm,kmjnhbgvx

Step-by-step explanation:

c vgbhjnmk,jnhbgvfc

y = MX + b is the required linear graph formula.

Linear equations with two variables have straight-line graphs.

There are numerous ways to express linear equations: Y = mx+ b is the slope-intercept form.

The slope is m and the y-intercept is the point in an equation of the type y = MX + b, such as y = 2x 3. (0, b).

Write the equation in the form y = MX + b to determine the slope m and the y-intercept.

This will allow you to graph the equation using the slope and y-intercept (0,

b).

Plot the y-intercept next.

3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.

Therefore, y = MX + b is the required linear graph formula.

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Answer:

angle A is 155

angle B is 90

angle C is 115

angle 90 is 65

Step-by-step explanation:

Answer:

angle A is 155angle B is 90 angle C is 115 angle 90 is 65

The given expression y=cos x is solved using the arc length formula. And, the required integral or curve length is \(L=\int\limits^{2\pi}_0 \sqrt{1+\sin^2x} \, dx\).

The length of the curve or the arc length helps to determine the distance between one point to another point in the curve. This is calculated by using the integral formula between two given points,

\(L=\int\limits^b_a \sqrt{1+\left(\frac{dy}{dx}\right)^2} \, dx\)

The given expression is y=cosx and the limit is 0≤x≤2π. First, differentiate the given expression concerning x, we get,

dy/dx= -sin x

Then, squaring both sides of the above expression,

(dy/dx)²= sin²x

Now, substituting (dy/dx)² in the formula, we get,

\(L=\int\limits^{2\pi}_0 \sqrt{1+\sin^2x} \, dx\)

Therefore, the above expression is the required answer.

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The complete question is -

Set up, but do not evaluate, an integral for the length of the curve y=cosx, 0≤x≤2π.

Applying the limit concept, it is found that the limit is 2 for 3 positive values of b.

----------------------

The function given is:

\(f(x) = 0.1x^4 - 0.5x^3 - 3.3x^2 + 7.7x - 1.99\)

The limit of the function as x tends to b is:

\(\lim_{x \rightarrow b} f(x) = 0.1b^4 - 0.5b^3 - 3.3b^2 + 7.7b - 1.99\)

To find when the result of the limit is 2:

\(0.1b^4 - 0.5b^3 - 3.3b^2 + 7.7b - 1.99 = 2\)

Placing into standard polynomial format:

\(0.1b^4 - 0.5b^3 - 3.3b^2 + 7.7b - 3.99 = 0\)

Using a calculator, the solutions are: \(b_1 = -4.9978613719838, b_2 = 0.84536762603715, b_3 = 1.1540644992178, b_4 = 7.9984292467288\)

Of those, 3 are positive, thus the limit is 2 for 3 positive values of b.

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Based on the given angles, the missing answers of the sequences uploaded screenshots are:

The following answers are constructed based on the sequences of each problems not as the sequences of the uploaded screenshots.

3. Since ∠1 + ∠2 = 180°; then both are supplementary angles

4. Both ∠1 and ∠2 have equal size of angle and share no adjacent side; then both are vertical angles

5. 116° + 64° = 180°; then both are supplementary angle

8. Angles ∠3 and ∠4 are adjacent supplementary because it shares an adjacent side and its sum is 180°.

10. Angles ∠3 and ∠5 are vertical since they share no adjacent side but have equals size of angle.

12. Angles ∠1 and ∠5 are adjacent but neither complementary or supplementary because it sums are not 90° either 180°.

13. x and 107° are vertical angles; then:

x = 107°

15. x and 142° are supplementary angles; then:

x + 142° = 180°

x = 38°

17. ∠RST = 112°

∠RST = x + 87° = 112°

x = 35°

19. It is given that:

x + 127 = 180°

x = 53°

x = y = 53°

y + z = 90°

53° + z = 90°

z = 37°

21. ∠G + ∠H = 180°

51° + ∠H = 180°

∠H = 129°

22. ∠1 = ∠2

∠2 = 128°

23. ∠J + ∠K = 90°

∠J + 73° = 90°

∠J = 17°

2. Corresponding angles and congruent

4. Alternate interior angles and congruent

6. Consecutive interior angles and supplementary

8. Alternate exterior angles and congruent

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To solve for N, we'll start by isolating N on one side of the equation.

Starting with the equation:

24 = 3(n - 5)

Expanding the parentheses:

24 = 3n - 15

Adding 15 to both sides of the equation:

24 + 15 = 3n

39 = 3n

Dividing both sides of the equation by 3:

39 / 3 = 3n / 3

13 = n

Therefore, N = 13.

Answer:

It's D. (1,-2)

Step-by-step explanation:

Answer:

The answer is B: (-1, 2)

Step-by-step explanation:

Imagine a mirror is placed along the y-axis.

Since a reflection is applied, the mirror coordinates would be the opposite of the original coordinates, just like a mirror is opposite of what you see when you look into it.

Original coordinates: (1, 2)

Mirror coordinates: (-1, 2)

Parametrization of equations x=x(t), y=y(t) for f(x)=x^8−x^2−6 from (5,−4) to (9,−1) is that parametrization does indeed connect the points (5, -4) and (9, -1).

A parametrization for the curve that connects the points (5, -4) and (9, -1) given by the function f(x) = \(x^8 - x^2 - 6.\)

To do this, we can use the parameter t to represent points on the curve as follows:

x(t) = 5 + 4t, since we want x to start at 5 and end at 9, so we need to add 4 to x over the interval [0, 1].

Substituting this into our function f(x), we get:

y(t) = f(x(t)) = \((5 + 4t)^8 - (5 + 4t)^2 - 6\).

Therefore, our parametrization is:

x(t) = 5 + 4t

y(t) = (5 + 4t)^8 - (5 + 4t)^2 - 6

To verify that this parametrization does indeed connect the points (5, -4) and (9, -1), we can check that x(0) = 5, x(1) = 9, y(0) = f(5) = -4, and y(1) = f(9) = -1.

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Answer:

If you were to write an equation for this then the equation would be

50x+600y>9300

So if you are looking for the inequality symbol then the answer would be

    >

Thank you

Mark this brainliest

Using t and c as variables, we get

100c + 400t ≥ 5400

Simplified,

100(c + 4t) ≥ 5400

c + 4t ≥ 54

To find the minimum number of chairs that need to be sold, we evaluate using t = 0

c + 4(0) ≥ 54

c ≥ 54

To find the minimum number of tables that need to be sold, we evaluate using c = 0

(0) + 4t ≥ 54

4t ≥ 54

t ≥ 13.5 Since we can't purchase half a chair, we round up our result giving us t ≥ 14

Answer:

lx-24l ≤ 8

Step-by-step explanation:

lx-24l ≤ 8

x ≤ 8 + 24

x ≤ 32

-----------------

-x + 24 ≤ 8

24 - 8 ≤ x

16 ≤ x

The absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have been given that for a poetry contest the minimum length of a poem is 16 lines. The maximum length is 32 lines.

To determine the absolute value equation that represents the minimum and maximum lengths.

First,  we need to find the difference between both solutions.

⇒ 32 - 16 = 16

Then, divide it by 2.

⇒ 16/2 = 8

⇒ 8 = |x - 32 + 8|

we could also write: 8 = |x - 32 + 8|

⇒ 8 = |x - 24|

Therefore, the absolute value equation that represents the minimum and maximum lengths is 8 = |x - 24|.

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Answer:

x=65

Step-by-step explanation:

this is the answer

Answer:

x = 13×5 = 65

it can be I am not too much sure but 65 can be answer

Answer: after t hours, the distance d between the hikers is

d^2 = (.24t)^2 + (.17t)^2 - 2(.24t)(.17t)cos109.167°

so, find t when d = 0.0568182

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

So, together they are 23. This means we need all three of their ages to add up to 23.
Honestly, I just would just start guessing multiples of low numbers to try to find Gabriel's and Alexis's ages first.

So...

Alexis being 1 is definitely way too low.

2 is also pretty low.

But 3? That might just work.

So if Alexis is 3, this means that Gabriel is 9. This would then mean that Karine is 11.
11+9+3=23.

It seems to work.
Alexis - 3
Gabriel - 9

Karine - 11

Answer:

  C  (-∞, ∞)

Step-by-step explanation:

The term "domain" refers to the set of all possible input values for a relation. Here, the function h(x) is defined for all possible values of x, so we say the domain is "all real numbers." When that is expressed as an inequality, it looks like ...

  -∞ < x < ∞

When that is written in interval notation, it looks like ...

  (-∞, ∞)

__

Additional comment

Round brackets (parentheses) are used in interval notation when the end number is not included in the set. It corresponds to the use of < in the inequality notation. Square brackets [ ] are used when the end number is included in the set. For example, 1 ≤ x would be [1, ∞) in interval notation.

__

The function h(x) is a first-degree (linear) polynomial function in x. Its graph is a straight line. Any polynomial will generally have a domain that is "all real numbers", because the value can be computed for any value of x.

On a graph, we say the domain is the horizontal extent of the graph. The term "range" is used to signify the vertical extent of the graph, or the set of function output values.

The period of the function f(x) in this problem is given as follows:

2 units.

The standard definition of the cosine function is given as follows:

y = Acos(B(x - C)) + D.

For which the parameters are given as follows:

The function for this problem is defined as follows:

f(x) = cos πx .

The coefficient B is given as follows:

B = π.

Hence the period is given as follows:

2π/B = 2π/π = 2 units.

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The term 'Population variances should be equal' is not a condition / assumption of the two-sample t inference for comparing the means of two populations.

A two-sample t-test is a statistical test that compares the means of two samples from two distinct populations to see if they are significantly different. The two-sample t-test is an analysis of variance (ANOVA) test. Its assumption is that the samples are random, independent, and have equal variance. The two-sample t-test has a null hypothesis that the difference between the means of the two populations is zero.Conditions for the two-sample t-test:

For the two-sample t-test, the following conditions must be met:

Independent samples: The samples must be independent of one another, which means that the observation in one sample should not be related to the observation in another sample.Normal population distribution: Each sample must follow a normal distribution with the same variance. This assumption is essential to get accurate results from the test.

Pooled variance: The variance of the two samples must be equal to each other. Equal variance assumption is the same as the assumption of homogeneity of variance.Assumption of Homogeneity of Variance: This assumption states that the population variances of the two populations are equal. This is usually checked with the help of a test statistic called F-test.What is the conclusion of the two-sample t-test?The two-sample t-test concludes whether the difference between two sample means is statistically significant or not. If the p-value is less than the significance level, we can reject the null hypothesis, indicating that the two sample means are significantly different. If the p-value is greater than the significance level, we cannot reject the null hypothesis, indicating that the two sample means are not significantly different.

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Therefore, Tom's share is 56 pieces and Jerry's share is 16 pieces.

To find the total number of pieces of candy, we can add Tom's share and Jerry's share:

To find the total number of pieces of candy, we can set up a proportion using the ratio given.

The ratio of Tom's share to Jerry's share is 7:2.

Let's represent the total number of pieces of candy as 'x'.

So, we can set up the proportion:

Tom's share / Jerry's share = 7/2

Given that Tom's share is 56 pieces, we can substitute it in the proportion:

56 / Jerry's share = 7/2

To solve for Jerry's share, we can cross multiply:

56 * 2 = Jerry's share * 7

112 = Jerry's share * 7

Dividing both sides by 7:

Jerry's share = 112 / 7

Jerry's share = 16

Total number of pieces of candy = Tom's share + Jerry's share

Total number of pieces of candy = 56 + 16

Total number of pieces of candy = 72

So, there are 72 pieces of candy in total.

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When comparing the number of rings in a generator, it is observed that the current produced is directly proportional to the number of loops. In other words, as the number of rings increases, the current produced also increases.

This is because increasing the number of loops in the generator results in a stronger magnetic field, which induces a higher voltage and subsequently a larger current. However, it is important to note that there is a limit to this relationship, as adding too many rings may lead to diminishing returns and a plateau in current production. Therefore, the number of rings must be optimized to strike a balance between efficiency and practicality.
When comparing two rings to four rings in a coil, the relationship between the number of loops and the current produced can be described as follows:

As the number of loops (rings) in the coil increases, the amount of current produced also increases. This is because the magnetic field created by the loops adds up constructively, leading to a stronger overall magnetic field. Consequently, a coil with four rings will produce twice the current as a coil with two rings, assuming other factors remain constant.

So, the relationship between the number of loops (rings) and the current produced is directly proportional - as the number of loops increases, so does the current produced.

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Answer: x= anything less than or equal to 5.

Step-by-step explanation: Because if you plug 5 in the answer for the equation on the right is 60. 60 is less than or equal to 60.

Answer: x ≤ 5

11x + 5 ≤ 60

⇔ 11x ≤ 60 - 5

⇔ 11x ≤ 55

⇔ x ≤ 55/11

⇔ x ≤ 5

Step-by-step explanation:

The time when the rocket will be 10 feet from the ground after when it was launched is 10.8 seconds

From the question, we are to determine how long after the rocket was launched will it be at the given height from the ground.

The given equation that represents the height of the rocket after t seconds is

h = -16t² + 170t + 40

The given height is 10 feet.

Now,

Substitute h = 10 into the equation

That is,

10 = -16t² + 170t + 40

16t² - 170t + 10 - 40 = 0

16t² - 170t - 30 = 0

Solve the quadratic equation

Using the quadratic formula,

t = [-b ±√(b² - 4ac)]/2a

a = 16, b = -170, and c = -30

t = [-(-170) ±√((-170)² - 4(16)(-30))]/2(16)

t = [170 ±√(28900 + 1920)]/32

t = [170 ±√(30820)]/32

t = [170 ± 175.556]/32

t = [170+ 175.556]/32 OR [170 - 175.556]/32

t = 345.556/32 OR -5.556/32

t ≈ 10.8 OR -0.17

Since t is time and cannot be negative, t is 10.8 seconds

Hence,

The time is 10.8 seconds

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer:

39

Step-by-step explanation:

MacPherson company is being faced with a situation of tight capacity at the Stratford plant which is currently at 13,000 units per month. There are two recommendations on how the company can mitigate the problem. The first recommendation is that the company should change its workforce level several times in a year while the second recommendation is that MacPherson invests $0.5M to increase the production capacity to 15,000 units per month. The labor union and some managers insist that the company should invest in increasing the production capacity instead of implementing the first option as it would lead to disruptive hiring and layoff.The recommendation to increase the production capacity to 15,000 units per month with a $0.5M investment will pay itself off within one year with the reduction in headcounts, new hires, and layoffs. Yes, I agree with the recommendation. Here is a detailed explanation:Investment in production capacity will reduce the per-unit cost of production which will allow the company to make more profits on each unit produced. With the increase in production capacity, the company will be able to produce more goods with the same amount of resources, and this will lead to a reduction in production costs. The reduction in production costs means that the company will be able to sell its goods at a lower price which will, in turn, increase demand for the products.With the increased demand for the product, the company will sell more and make more profits. The company will be able to meet the market demand for the product without any interruption which means there will be no need for hiring or layoffs. This reduction in hiring and layoffs will reduce the disruption that may be caused in the production process. The reduction in hiring and layoffs will also lead to a reduction in the cost of recruitment and training of new staff.The investment of $0.5M will pay for itself within one year because the reduction in the cost of production, hiring, and layoffs will offset the initial investment.